Question

Due 05/05/200:00Tickets to a school play cost $3 for students and $8 for adults. On opening night, $1,000 was collected and 150 tickets sold Use substitution to solvea system of equations to find how many of each kind of ticket were sold? Enter your answers in the boxesstudent ticketsadult tickets

Answer 1

We will use the next variables

x is the number of tickets sold for students

y is the number of tickets sold for adults

First equation

x+y=150

Second equation

3x+8y=1000

we isolate the x of the first equation

x=150-y

we substitute the equation above in the second equation

3(150-y)+8y=1000

450-3y+8y=1000

we sum like terms

5y=1000-450

5y=550

y=550/5

y=110

Then we substitute the value of y in the equation with x isolate

x=150-y=150-110=40

x=40 and y=110

The students sold

40 tickets for students

110 tickets for adults